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Optimal control of spatial-dynamic processes: The case of biological invasions

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  • Epanchin-Niell, Rebecca S.
  • Wilen, James E.

Abstract

This study examines the spatial nature of optimal bioinvasion control. We develop and parameterize a spatially explicit two-dimensional model of species spread that allows for differential control across space and time, and we solve for optimal control strategies. We find that the qualitative nature of optimal strategies depend in interesting ways on aspects of landscape and invasion geometry. For example, we show that reducing the extent of exposed invasion edge, through spread, removal, or strategically employing landscape features, can be an optimal strategy because it reduces long-term containment costs. We also show that optimal invasion control is spatially and temporally “forward-looking” in the sense that strategies should be targeted to slow the spread of an invasion in the direction of greatest potential long-term damages. These and other novel findings contribute to the largely nonspatial literature on optimally controlling invasions and to understanding control of spatial-dynamic processes in general.

Suggested Citation

  • Epanchin-Niell, Rebecca S. & Wilen, James E., 2010. "Optimal control of spatial-dynamic processes: The case of biological invasions," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61375, Agricultural and Applied Economics Association.
  • Handle: RePEc:ags:aaea10:61375
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    1. repec:oup:ajagec:v:99:y:2017:i:1:p:123-139. is not listed on IDEAS
    2. Buyuktahtakin, Esra & Feng, Zhuo & Olsson, Aaryn & Frisvold, George B. & Szidarovszky, Ferenc, 2010. "Positive Analysis of Invasive Species Control as a Dynamic Spatial Process," 2010 Annual Meeting, July 25-27, 2010, Denver, Colorado 61753, Agricultural and Applied Economics Association.
    3. Morteza Chalak & Maksym Polyakov & David J. Pannell, 2017. "Economics of Controlling Invasive Species: A Stochastic Optimization Model for a Spatial-dynamic Process," American Journal of Agricultural Economics, Agricultural and Applied Economics Association, vol. 99(1), pages 123-139.
    4. Homans, Frances & Horie, Tetsuya, 2011. "Optimal detection strategies for an established invasive pest," Ecological Economics, Elsevier, vol. 70(6), pages 1129-1138, April.

    More about this item

    Keywords

    invasive species; spatial-dynamic processes; spatial spread; reaction-diffusion; management; cellular automaton; eradication; containment; spatial control; integer programming; Environmental Economics and Policy; Land Economics/Use; Resource /Energy Economics and Policy; Q; Q1; Q2; Q5;

    JEL classification:

    • Q16 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Agriculture - - - R&D; Agricultural Technology; Biofuels; Agricultural Extension Services
    • Q20 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - General
    • Q22 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Fishery
    • Q23 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Renewable Resources and Conservation - - - Forestry
    • Q54 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Climate; Natural Disasters and their Management; Global Warming
    • Q57 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Ecological Economics

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